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Finding the Fourth Proportional to 576.18, 798.26 and 565.20

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Solution

The fourth proportional to 576.18, 798.26 and 565.20 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 798.26 = 565.20 : x
  2. Step 2: Convert to fraction form
    576.18/798.26 = 565.20/x
  3. Step 3: Cross multiply
    576.18x = 798.26 × 565.20
  4. Step 4: Simplify right side
    576.18x = 451,173.73
  5. Step 5: Solve for x
    x = 451,173.73/576.18
  6. Step 6: Final answer
    x = 783.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.